A study guide for the $l^2$ Decoupling Theorem

TL;DR

This paper provides a detailed, self-contained, and streamlined proof of the $l^2$ decoupling theorem specifically for hypersurfaces, making the theorem more accessible and easier to understand.

Contribution

It offers a new, simplified proof of the $l^2$ decoupling theorem for hypersurfaces, enhancing clarity and accessibility.

Findings

Streamlined proof of the $l^2$ decoupling theorem

Self-contained presentation for hypersurfaces

Improved understanding of decoupling techniques

Abstract

This paper contains a detailed, self contained and more streamlined proof of our $l^2$ decoupling theorem for hypersurfaces.